mirror of
https://github.com/tesseract-ocr/tesseract.git
synced 2024-11-24 19:19:05 +08:00
4523ce9f7d
git-svn-id: https://tesseract-ocr.googlecode.com/svn/trunk@526 d0cd1f9f-072b-0410-8dd7-cf729c803f20
743 lines
24 KiB
C++
743 lines
24 KiB
C++
/******************************************************************************
|
|
** Filename: mfoutline.c
|
|
** Purpose: Interface to outline struct used for extracting features
|
|
** Author: Dan Johnson
|
|
** History: Thu May 17 08:14:18 1990, DSJ, Created.
|
|
**
|
|
** (c) Copyright Hewlett-Packard Company, 1988.
|
|
** Licensed under the Apache License, Version 2.0 (the "License");
|
|
** you may not use this file except in compliance with the License.
|
|
** You may obtain a copy of the License at
|
|
** http://www.apache.org/licenses/LICENSE-2.0
|
|
** Unless required by applicable law or agreed to in writing, software
|
|
** distributed under the License is distributed on an "AS IS" BASIS,
|
|
** WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
|
** See the License for the specific language governing permissions and
|
|
** limitations under the License.
|
|
******************************************************************************/
|
|
/*----------------------------------------------------------------------------
|
|
Include Files and Type Defines
|
|
----------------------------------------------------------------------------*/
|
|
#include "clusttool.h" //If remove you get cought in a loop somewhere
|
|
#include "emalloc.h"
|
|
#include "mfoutline.h"
|
|
#include "blobs.h"
|
|
#include "const.h"
|
|
#include "mfx.h"
|
|
#include "params.h"
|
|
#include "classify.h"
|
|
|
|
#include <math.h>
|
|
#include <stdio.h>
|
|
|
|
#define MIN_INERTIA (0.00001)
|
|
|
|
/*----------------------------------------------------------------------------
|
|
Public Code
|
|
----------------------------------------------------------------------------*/
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
// Convert a blob into a list of MFOUTLINEs (float-based microfeature format).
|
|
LIST ConvertBlob(TBLOB *blob) {
|
|
LIST outlines = NIL_LIST;
|
|
return (blob == NULL)
|
|
? NIL_LIST
|
|
: ConvertOutlines(blob->outlines, outlines, outer);
|
|
}
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
// Convert a TESSLINE into the float-based MFOUTLINE micro-feature format.
|
|
MFOUTLINE ConvertOutline(TESSLINE *outline) {
|
|
MFEDGEPT *NewPoint;
|
|
MFOUTLINE MFOutline = NIL_LIST;
|
|
EDGEPT *EdgePoint;
|
|
EDGEPT *StartPoint;
|
|
EDGEPT *NextPoint;
|
|
|
|
if (outline == NULL || outline->loop == NULL)
|
|
return MFOutline;
|
|
|
|
StartPoint = outline->loop;
|
|
EdgePoint = StartPoint;
|
|
do {
|
|
NextPoint = EdgePoint->next;
|
|
|
|
/* filter out duplicate points */
|
|
if (EdgePoint->pos.x != NextPoint->pos.x ||
|
|
EdgePoint->pos.y != NextPoint->pos.y) {
|
|
NewPoint = NewEdgePoint();
|
|
ClearMark(NewPoint);
|
|
NewPoint->Hidden = EdgePoint->IsHidden();
|
|
NewPoint->Point.x = EdgePoint->pos.x;
|
|
NewPoint->Point.y = EdgePoint->pos.y;
|
|
MFOutline = push(MFOutline, NewPoint);
|
|
}
|
|
EdgePoint = NextPoint;
|
|
} while (EdgePoint != StartPoint);
|
|
|
|
MakeOutlineCircular(MFOutline);
|
|
return MFOutline;
|
|
}
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
// Convert a tree of outlines to a list of MFOUTLINEs (lists of MFEDGEPTs).
|
|
//
|
|
// Parameters:
|
|
// outline first outline to be converted
|
|
// mf_outlines list to add converted outlines to
|
|
// outline_type are the outlines outer or holes?
|
|
LIST ConvertOutlines(TESSLINE *outline,
|
|
LIST mf_outlines,
|
|
OUTLINETYPE outline_type) {
|
|
MFOUTLINE mf_outline;
|
|
|
|
while (outline != NULL) {
|
|
mf_outline = ConvertOutline(outline);
|
|
mf_outlines = push(mf_outlines, mf_outline);
|
|
outline = outline->next;
|
|
}
|
|
return mf_outlines;
|
|
}
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void ComputeOutlineStats(LIST Outlines, OUTLINE_STATS *OutlineStats) {
|
|
/*
|
|
** Parameters:
|
|
** Outlines list of outlines to compute stats for
|
|
** OutlineStats place to put results
|
|
** Globals: none
|
|
** Operation: This routine computes several statistics about the outlines
|
|
** in Outlines. These statistics are usually used to perform
|
|
** anistropic normalization of all of the outlines. The
|
|
** statistics generated are:
|
|
** first moments about x and y axes
|
|
** total length of all outlines
|
|
** center of mass of all outlines
|
|
** second moments about center of mass axes
|
|
** radius of gyration about center of mass axes
|
|
** Return: none (results are returned in OutlineStats)
|
|
** Exceptions: none
|
|
** History: Fri Dec 14 08:32:03 1990, DSJ, Created.
|
|
*/
|
|
MFOUTLINE Outline;
|
|
MFOUTLINE EdgePoint;
|
|
MFEDGEPT *Current;
|
|
MFEDGEPT *Last;
|
|
|
|
InitOutlineStats(OutlineStats);
|
|
iterate(Outlines) {
|
|
Outline = (MFOUTLINE) first_node (Outlines);
|
|
|
|
Last = PointAt (Outline);
|
|
Outline = NextPointAfter (Outline);
|
|
EdgePoint = Outline;
|
|
do {
|
|
Current = PointAt (EdgePoint);
|
|
|
|
UpdateOutlineStats (OutlineStats,
|
|
Last->Point.x, Last->Point.y,
|
|
Current->Point.x, Current->Point.y);
|
|
|
|
Last = Current;
|
|
EdgePoint = NextPointAfter (EdgePoint);
|
|
}
|
|
while (EdgePoint != Outline);
|
|
}
|
|
FinishOutlineStats(OutlineStats);
|
|
|
|
} /* ComputeOutlineStats */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void FindDirectionChanges(MFOUTLINE Outline,
|
|
FLOAT32 MinSlope,
|
|
FLOAT32 MaxSlope) {
|
|
/*
|
|
** Parameters:
|
|
** Outline micro-feature outline to analyze
|
|
** MinSlope controls "snapping" of segments to horizontal
|
|
** MaxSlope controls "snapping" of segments to vertical
|
|
** Globals: none
|
|
** Operation:
|
|
** This routine searches thru the specified outline, computes
|
|
** a slope for each vector in the outline, and marks each
|
|
** vector as having one of the following directions:
|
|
** N, S, E, W, NE, NW, SE, SW
|
|
** This information is then stored in the outline and the
|
|
** outline is returned.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: 7/21/89, DSJ, Created.
|
|
*/
|
|
MFEDGEPT *Current;
|
|
MFEDGEPT *Last;
|
|
MFOUTLINE EdgePoint;
|
|
|
|
if (DegenerateOutline (Outline))
|
|
return;
|
|
|
|
Last = PointAt (Outline);
|
|
Outline = NextPointAfter (Outline);
|
|
EdgePoint = Outline;
|
|
do {
|
|
Current = PointAt (EdgePoint);
|
|
ComputeDirection(Last, Current, MinSlope, MaxSlope);
|
|
|
|
Last = Current;
|
|
EdgePoint = NextPointAfter (EdgePoint);
|
|
}
|
|
while (EdgePoint != Outline);
|
|
|
|
} /* FindDirectionChanges */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void FreeMFOutline(void *arg) { //MFOUTLINE Outline)
|
|
/*
|
|
** Parameters:
|
|
** Outline micro-feature outline to be freed
|
|
** Globals: none
|
|
** Operation:
|
|
** This routine deallocates all of the memory consumed by
|
|
** a micro-feature outline.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: 7/27/89, DSJ, Created.
|
|
*/
|
|
MFOUTLINE Start;
|
|
MFOUTLINE Outline = (MFOUTLINE) arg;
|
|
|
|
/* break the circular outline so we can use std. techniques to deallocate */
|
|
Start = list_rest (Outline);
|
|
set_rest(Outline, NIL_LIST);
|
|
while (Start != NULL) {
|
|
free_struct (first_node (Start), sizeof (MFEDGEPT), "MFEDGEPT");
|
|
Start = pop (Start);
|
|
}
|
|
|
|
} /* FreeMFOutline */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void FreeOutlines(LIST Outlines) {
|
|
/*
|
|
** Parameters:
|
|
** Outlines list of mf-outlines to be freed
|
|
** Globals: none
|
|
** Operation: Release all memory consumed by the specified list
|
|
** of outlines.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: Thu Dec 13 16:14:50 1990, DSJ, Created.
|
|
*/
|
|
destroy_nodes(Outlines, FreeMFOutline);
|
|
} /* FreeOutlines */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void MarkDirectionChanges(MFOUTLINE Outline) {
|
|
/*
|
|
** Parameters:
|
|
** Outline micro-feature outline to analyze
|
|
** Globals: none
|
|
** Operation:
|
|
** This routine searches thru the specified outline and finds
|
|
** the points at which the outline changes direction. These
|
|
** points are then marked as "extremities". This routine is
|
|
** used as an alternative to FindExtremities(). It forces the
|
|
** endpoints of the microfeatures to be at the direction
|
|
** changes rather than at the midpoint between direction
|
|
** changes.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: 6/29/90, DSJ, Created.
|
|
*/
|
|
MFOUTLINE Current;
|
|
MFOUTLINE Last;
|
|
MFOUTLINE First;
|
|
|
|
if (DegenerateOutline (Outline))
|
|
return;
|
|
|
|
First = NextDirectionChange (Outline);
|
|
Last = First;
|
|
do {
|
|
Current = NextDirectionChange (Last);
|
|
MarkPoint (PointAt (Current));
|
|
Last = Current;
|
|
}
|
|
while (Last != First);
|
|
|
|
} /* MarkDirectionChanges */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
// Return a new edge point for a micro-feature outline.
|
|
MFEDGEPT *NewEdgePoint() {
|
|
return ((MFEDGEPT *) alloc_struct(sizeof(MFEDGEPT), "MFEDGEPT"));
|
|
}
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
MFOUTLINE NextExtremity(MFOUTLINE EdgePoint) {
|
|
/*
|
|
** Parameters:
|
|
** EdgePoint start search from this point
|
|
** Globals: none
|
|
** Operation:
|
|
** This routine returns the next point in the micro-feature
|
|
** outline that is an extremity. The search starts after
|
|
** EdgePoint. The routine assumes that the outline being
|
|
** searched is not a degenerate outline (i.e. it must have
|
|
** 2 or more edge points).
|
|
** Return: Next extremity in the outline after EdgePoint.
|
|
** Exceptions: none
|
|
** History: 7/26/89, DSJ, Created.
|
|
*/
|
|
EdgePoint = NextPointAfter(EdgePoint);
|
|
while (!PointAt(EdgePoint)->ExtremityMark)
|
|
EdgePoint = NextPointAfter(EdgePoint);
|
|
|
|
return (EdgePoint);
|
|
|
|
} /* NextExtremity */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void NormalizeOutline(MFOUTLINE Outline,
|
|
FLOAT32 XOrigin) {
|
|
/*
|
|
** Parameters:
|
|
** Outline outline to be normalized
|
|
** XOrigin x-origin of text
|
|
** Globals: none
|
|
** Operation:
|
|
** This routine normalizes the coordinates of the specified
|
|
** outline so that the outline is deskewed down to the
|
|
** baseline, translated so that x=0 is at XOrigin, and scaled
|
|
** so that the height of a character cell from descender to
|
|
** ascender is 1. Of this height, 0.25 is for the descender,
|
|
** 0.25 for the ascender, and 0.5 for the x-height. The
|
|
** y coordinate of the baseline is 0.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: 8/2/89, DSJ, Created.
|
|
*/
|
|
if (Outline == NIL_LIST)
|
|
return;
|
|
|
|
MFOUTLINE EdgePoint = Outline;
|
|
do {
|
|
MFEDGEPT *Current = PointAt(EdgePoint);
|
|
Current->Point.y = MF_SCALE_FACTOR * (Current->Point.y - BASELINE_OFFSET);
|
|
Current->Point.x = MF_SCALE_FACTOR * (Current->Point.x - XOrigin);
|
|
EdgePoint = NextPointAfter(EdgePoint);
|
|
} while (EdgePoint != Outline);
|
|
} /* NormalizeOutline */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
namespace tesseract {
|
|
void Classify::NormalizeOutlines(LIST Outlines,
|
|
FLOAT32 *XScale,
|
|
FLOAT32 *YScale) {
|
|
/*
|
|
** Parameters:
|
|
** Outlines list of outlines to be normalized
|
|
** XScale x-direction scale factor used by routine
|
|
** YScale y-direction scale factor used by routine
|
|
** Globals:
|
|
** classify_norm_method method being used for normalization
|
|
** classify_char_norm_range map radius of gyration to this value
|
|
** Operation: This routine normalizes every outline in Outlines
|
|
** according to the currently selected normalization method.
|
|
** It also returns the scale factors that it used to do this
|
|
** scaling. The scale factors returned represent the x and
|
|
** y sizes in the normalized coordinate system that correspond
|
|
** to 1 pixel in the original coordinate system.
|
|
** Return: none (Outlines are changed and XScale and YScale are updated)
|
|
** Exceptions: none
|
|
** History: Fri Dec 14 08:14:55 1990, DSJ, Created.
|
|
*/
|
|
MFOUTLINE Outline;
|
|
OUTLINE_STATS OutlineStats;
|
|
FLOAT32 BaselineScale;
|
|
|
|
switch (classify_norm_method) {
|
|
case character:
|
|
ComputeOutlineStats(Outlines, &OutlineStats);
|
|
|
|
/* limit scale factor to avoid overscaling small blobs (.,`'),
|
|
thin blobs (l1ift), and merged blobs */
|
|
*XScale = *YScale = BaselineScale = MF_SCALE_FACTOR;
|
|
*XScale *= OutlineStats.Ry;
|
|
*YScale *= OutlineStats.Rx;
|
|
if (*XScale < classify_min_norm_scale_x)
|
|
*XScale = classify_min_norm_scale_x;
|
|
if (*YScale < classify_min_norm_scale_y)
|
|
*YScale = classify_min_norm_scale_y;
|
|
if (*XScale > classify_max_norm_scale_x &&
|
|
*YScale <= classify_max_norm_scale_y)
|
|
*XScale = classify_max_norm_scale_x;
|
|
*XScale = classify_char_norm_range * BaselineScale / *XScale;
|
|
*YScale = classify_char_norm_range * BaselineScale / *YScale;
|
|
|
|
iterate(Outlines) {
|
|
Outline = (MFOUTLINE) first_node (Outlines);
|
|
CharNormalizeOutline (Outline,
|
|
OutlineStats.x, OutlineStats.y,
|
|
*XScale, *YScale);
|
|
}
|
|
break;
|
|
|
|
case baseline:
|
|
iterate(Outlines) {
|
|
Outline = (MFOUTLINE) first_node(Outlines);
|
|
NormalizeOutline(Outline, 0.0);
|
|
}
|
|
*XScale = *YScale = MF_SCALE_FACTOR;
|
|
break;
|
|
}
|
|
} /* NormalizeOutlines */
|
|
} // namespace tesseract
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void SmearExtremities(MFOUTLINE Outline, FLOAT32 XScale, FLOAT32 YScale) {
|
|
/*
|
|
** Parameters:
|
|
** Outline outline whose extremities are to be smeared
|
|
** XScale factor used to normalize outline in x dir
|
|
** YScale factor used to normalize outline in y dir
|
|
** Globals: none
|
|
** Operation:
|
|
** This routine smears the extremities of the specified outline.
|
|
** It does this by adding a random number between
|
|
** -0.5 and 0.5 pixels (that is why X/YScale are needed) to
|
|
** the x and y position of the point. This is done so that
|
|
** the discrete nature of the original scanned image does not
|
|
** affect the statistical clustering used during training.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: 1/11/90, DSJ, Created.
|
|
*/
|
|
MFEDGEPT *Current;
|
|
MFOUTLINE EdgePoint;
|
|
FLOAT32 MinXSmear;
|
|
FLOAT32 MaxXSmear;
|
|
FLOAT32 MinYSmear;
|
|
FLOAT32 MaxYSmear;
|
|
|
|
if (Outline != NIL_LIST) {
|
|
MinXSmear = -0.5 * XScale;
|
|
MaxXSmear = 0.5 * XScale;
|
|
MinYSmear = -0.5 * YScale;
|
|
MaxYSmear = 0.5 * YScale;
|
|
EdgePoint = Outline;
|
|
do {
|
|
Current = PointAt (EdgePoint);
|
|
if (Current->ExtremityMark) {
|
|
Current->Point.x +=
|
|
UniformRandomNumber(MinXSmear, MaxXSmear);
|
|
Current->Point.y +=
|
|
UniformRandomNumber(MinYSmear, MaxYSmear);
|
|
}
|
|
|
|
EdgePoint = NextPointAfter (EdgePoint);
|
|
}
|
|
while (EdgePoint != Outline);
|
|
}
|
|
} /* SmearExtremities */
|
|
|
|
|
|
/**----------------------------------------------------------------------------
|
|
Private Code
|
|
----------------------------------------------------------------------------**/
|
|
/*---------------------------------------------------------------------------*/
|
|
void ChangeDirection(MFOUTLINE Start, MFOUTLINE End, DIRECTION Direction) {
|
|
/*
|
|
** Parameters:
|
|
** Start, End defines segment of outline to be modified
|
|
** Direction new direction to assign to segment
|
|
** Globals: none
|
|
** Operation: Change the direction of every vector in the specified
|
|
** outline segment to Direction. The segment to be changed
|
|
** starts at Start and ends at End. Note that the previous
|
|
** direction of End must also be changed to reflect the
|
|
** change in direction of the point before it.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: Fri May 4 10:42:04 1990, DSJ, Created.
|
|
*/
|
|
MFOUTLINE Current;
|
|
|
|
for (Current = Start; Current != End; Current = NextPointAfter (Current))
|
|
PointAt (Current)->Direction = Direction;
|
|
|
|
PointAt (End)->PreviousDirection = Direction;
|
|
|
|
} /* ChangeDirection */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void CharNormalizeOutline(MFOUTLINE Outline,
|
|
FLOAT32 XCenter,
|
|
FLOAT32 YCenter,
|
|
FLOAT32 XScale,
|
|
FLOAT32 YScale) {
|
|
/*
|
|
** Parameters:
|
|
** Outline outline to be character normalized
|
|
** XCenter, YCenter center point for normalization
|
|
** XScale, YScale scale factors for normalization
|
|
** Globals: none
|
|
** Operation: This routine normalizes each point in Outline by
|
|
** translating it to the specified center and scaling it
|
|
** anisotropically according to the given scale factors.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: Fri Dec 14 10:27:11 1990, DSJ, Created.
|
|
*/
|
|
MFOUTLINE First, Current;
|
|
MFEDGEPT *CurrentPoint;
|
|
|
|
if (Outline == NIL_LIST)
|
|
return;
|
|
|
|
First = Outline;
|
|
Current = First;
|
|
do {
|
|
CurrentPoint = PointAt (Current);
|
|
CurrentPoint->Point.x =
|
|
(CurrentPoint->Point.x - XCenter) * XScale;
|
|
CurrentPoint->Point.y =
|
|
(CurrentPoint->Point.y - YCenter) * YScale;
|
|
|
|
Current = NextPointAfter (Current);
|
|
}
|
|
while (Current != First);
|
|
|
|
} /* CharNormalizeOutline */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void ComputeDirection(MFEDGEPT *Start,
|
|
MFEDGEPT *Finish,
|
|
FLOAT32 MinSlope,
|
|
FLOAT32 MaxSlope) {
|
|
/*
|
|
** Parameters:
|
|
** Start starting point to compute direction from
|
|
** Finish finishing point to compute direction to
|
|
** MinSlope slope below which lines are horizontal
|
|
** MaxSlope slope above which lines are vertical
|
|
** Globals: none
|
|
** Operation:
|
|
** This routine computes the slope from Start to Finish and
|
|
** and then computes the approximate direction of the line
|
|
** segment from Start to Finish. The direction is quantized
|
|
** into 8 buckets:
|
|
** N, S, E, W, NE, NW, SE, SW
|
|
** Both the slope and the direction are then stored into
|
|
** the appropriate fields of the Start edge point. The
|
|
** direction is also stored into the PreviousDirection field
|
|
** of the Finish edge point.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: 7/25/89, DSJ, Created.
|
|
*/
|
|
FVECTOR Delta;
|
|
|
|
Delta.x = Finish->Point.x - Start->Point.x;
|
|
Delta.y = Finish->Point.y - Start->Point.y;
|
|
if (Delta.x == 0)
|
|
if (Delta.y < 0) {
|
|
Start->Slope = -MAX_FLOAT32;
|
|
Start->Direction = south;
|
|
}
|
|
else {
|
|
Start->Slope = MAX_FLOAT32;
|
|
Start->Direction = north;
|
|
}
|
|
else {
|
|
Start->Slope = Delta.y / Delta.x;
|
|
if (Delta.x > 0)
|
|
if (Delta.y > 0)
|
|
if (Start->Slope > MinSlope)
|
|
if (Start->Slope < MaxSlope)
|
|
Start->Direction = northeast;
|
|
else
|
|
Start->Direction = north;
|
|
else
|
|
Start->Direction = east;
|
|
else if (Start->Slope < -MinSlope)
|
|
if (Start->Slope > -MaxSlope)
|
|
Start->Direction = southeast;
|
|
else
|
|
Start->Direction = south;
|
|
else
|
|
Start->Direction = east;
|
|
else if (Delta.y > 0)
|
|
if (Start->Slope < -MinSlope)
|
|
if (Start->Slope > -MaxSlope)
|
|
Start->Direction = northwest;
|
|
else
|
|
Start->Direction = north;
|
|
else
|
|
Start->Direction = west;
|
|
else if (Start->Slope > MinSlope)
|
|
if (Start->Slope < MaxSlope)
|
|
Start->Direction = southwest;
|
|
else
|
|
Start->Direction = south;
|
|
else
|
|
Start->Direction = west;
|
|
}
|
|
Finish->PreviousDirection = Start->Direction;
|
|
} /* ComputeDirection */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void FinishOutlineStats(register OUTLINE_STATS *OutlineStats) {
|
|
/*
|
|
** Parameters:
|
|
** OutlineStats statistics about a set of outlines
|
|
** Globals: none
|
|
** Operation: Use the preliminary statistics accumulated in OutlineStats
|
|
** to compute the final statistics.
|
|
** (see Dan Johnson's Tesseract lab
|
|
** notebook #2, pgs. 74-78).
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: Fri Dec 14 10:13:36 1990, DSJ, Created.
|
|
*/
|
|
OutlineStats->x = 0.5 * OutlineStats->My / OutlineStats->L;
|
|
OutlineStats->y = 0.5 * OutlineStats->Mx / OutlineStats->L;
|
|
|
|
OutlineStats->Ix = (OutlineStats->Ix / 3.0 -
|
|
OutlineStats->y * OutlineStats->Mx +
|
|
OutlineStats->y * OutlineStats->y * OutlineStats->L);
|
|
|
|
OutlineStats->Iy = (OutlineStats->Iy / 3.0 -
|
|
OutlineStats->x * OutlineStats->My +
|
|
OutlineStats->x * OutlineStats->x * OutlineStats->L);
|
|
|
|
/* Ix and/or Iy could possibly be negative due to roundoff error */
|
|
if (OutlineStats->Ix < 0.0)
|
|
OutlineStats->Ix = MIN_INERTIA;
|
|
if (OutlineStats->Iy < 0.0)
|
|
OutlineStats->Iy = MIN_INERTIA;
|
|
|
|
OutlineStats->Rx = sqrt (OutlineStats->Ix / OutlineStats->L);
|
|
OutlineStats->Ry = sqrt (OutlineStats->Iy / OutlineStats->L);
|
|
|
|
OutlineStats->Mx *= 0.5;
|
|
OutlineStats->My *= 0.5;
|
|
|
|
} /* FinishOutlineStats */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void InitOutlineStats(OUTLINE_STATS *OutlineStats) {
|
|
/*
|
|
** Parameters:
|
|
** OutlineStats stats data structure to be initialized
|
|
** Globals: none
|
|
** Operation: Initialize the outline statistics data structure so
|
|
** that it is ready to start accumulating statistics.
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: Fri Dec 14 08:55:22 1990, DSJ, Created.
|
|
*/
|
|
OutlineStats->Mx = 0.0;
|
|
OutlineStats->My = 0.0;
|
|
OutlineStats->L = 0.0;
|
|
OutlineStats->x = 0.0;
|
|
OutlineStats->y = 0.0;
|
|
OutlineStats->Ix = 0.0;
|
|
OutlineStats->Iy = 0.0;
|
|
OutlineStats->Rx = 0.0;
|
|
OutlineStats->Ry = 0.0;
|
|
} /* InitOutlineStats */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
MFOUTLINE NextDirectionChange(MFOUTLINE EdgePoint) {
|
|
/*
|
|
** Parameters:
|
|
** EdgePoint start search from this point
|
|
** Globals: none
|
|
** Operation:
|
|
** This routine returns the next point in the micro-feature
|
|
** outline that has a direction different than EdgePoint. The
|
|
** routine assumes that the outline being searched is not a
|
|
** degenerate outline (i.e. it must have 2 or more edge points).
|
|
** Return: Point of next direction change in micro-feature outline.
|
|
** Exceptions: none
|
|
** History: 7/25/89, DSJ, Created.
|
|
*/
|
|
DIRECTION InitialDirection;
|
|
|
|
InitialDirection = PointAt (EdgePoint)->Direction;
|
|
|
|
MFOUTLINE next_pt = NULL;
|
|
do {
|
|
EdgePoint = NextPointAfter(EdgePoint);
|
|
next_pt = NextPointAfter(EdgePoint);
|
|
} while (PointAt(EdgePoint)->Direction == InitialDirection &&
|
|
!PointAt(EdgePoint)->Hidden &&
|
|
next_pt != NULL && !PointAt(next_pt)->Hidden);
|
|
|
|
return (EdgePoint);
|
|
} /* NextDirectionChange */
|
|
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
void UpdateOutlineStats(register OUTLINE_STATS *OutlineStats,
|
|
register FLOAT32 x1,
|
|
register FLOAT32 x2,
|
|
register FLOAT32 y1,
|
|
register FLOAT32 y2) {
|
|
/*
|
|
** Parameters:
|
|
** OutlineStats statistics to add this segment to
|
|
** x1, y1, x2, y2 segment to be added to statistics
|
|
** Globals: none
|
|
** Operation: This routine adds the statistics for the specified
|
|
** line segment to OutlineStats. The statistics that are
|
|
** kept are:
|
|
** sum of length of all segments
|
|
** sum of 2*Mx for all segments
|
|
** sum of 2*My for all segments
|
|
** sum of 2*Mx*(y1+y2) - L*y1*y2 for all segments
|
|
** sum of 2*My*(x1+x2) - L*x1*x2 for all segments
|
|
** These numbers, once collected can later be used to easily
|
|
** compute the center of mass, first and second moments,
|
|
** and radii of gyration. (see Dan Johnson's Tesseract lab
|
|
** notebook #2, pgs. 74-78).
|
|
** Return: none
|
|
** Exceptions: none
|
|
** History: Fri Dec 14 08:59:17 1990, DSJ, Created.
|
|
*/
|
|
register FLOAT64 L;
|
|
register FLOAT64 Mx2;
|
|
register FLOAT64 My2;
|
|
|
|
/* compute length of segment */
|
|
L = sqrt ((x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1));
|
|
OutlineStats->L += L;
|
|
|
|
/* compute 2Mx and 2My components */
|
|
Mx2 = L * (y1 + y2);
|
|
My2 = L * (x1 + x2);
|
|
OutlineStats->Mx += Mx2;
|
|
OutlineStats->My += My2;
|
|
|
|
/* compute second moment component */
|
|
OutlineStats->Ix += Mx2 * (y1 + y2) - L * y1 * y2;
|
|
OutlineStats->Iy += My2 * (x1 + x2) - L * x1 * x2;
|
|
|
|
} /* UpdateOutlineStats */
|