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Image Statistics Functions
12-11
12
NormalizedCentralMoment
Computes a normalized
central moment.
double iplNormalizedCentralMoment(IplImage*
image
, int
mOrd
, int
nOrd
);
image
The image for which the moment will be
computed.
mOrd, nOrd
The integer exponents m and n (see the moment
definition in the beginning of this section).
These arguments must satisfy the condition
0
≤
mOrd
+
nOrd
≤ 3.
Discussion
The function iplNormalizedCentralMoment() computes the normalized
central moment U
U
(m,n)/(
nCols
m
·
nRows
n
) for the
image
.
Here U
U
(m,n) is the central moment,
nCols
and
nRows
are the numbers of
pixel columns and rows, respectively.
- Image Processing 1
- How to Use This Online Manual 2
- Image Processing Library 3
- Reference Manual 3
- Chapter3 ErrorHandling 6
- Chapter 6 Image Filtering 9
- Chapter7LinearImageTransforms 10
- Chapter9ColorSpaceConversion 10
- Contents 11
- Examples 17
- Overview 19
- ManualOrganization 20
- Function Descriptions 22
- Audience for This Manual 22
- NotationalConventions 23
- Naming Conventions 24
- Function Name Conventions 24
- X-Y Argument Order Convention 25
- Image Architecture 27
- Color Models 27
- Data Types and Palettes 28
- Table 2-1 Data Ordering 29
- Coordinate Systems 30
- Image Regions of Interest 30
- SetROI() 31
- Input image Output image 32
- Alpha (Opacity) Channel 33
- Scanline Alignment 33
- Image Dimensions 33
- Execution Architecture 34
- Image Tiling 34
- Tile Size 35
- Call-backs 35
- ROI and Tiling 36
- Error Handling 37
- Error-handling Functions 38
- GetErrStatus 39
- SetErrStatus 39
- GetErrMode 40
- SetErrMode 40
- ErrorStr 41
- RedirectError 42
- NullDevReport 43
- StdErrReport 43
- GuiBoxReport 43
- ErrorMacros 45
- Status Codes 46
- Channel1U 47
- Application Notes 48
- Error Handling Example 49
- Adding Your Own Error Handler 51
- ImageCreationandAccess 55
- Functions (continued) 56
- Image Header and Attributes 58
- OSD05559 60
- IplImage Structure Definition 61
- IplTileInfo Structure 62
- CreateImageHeader 63
- DeallocateImage 69
- CloneImage 69
- Deallocate 70
- CheckImageHeader 71
- CreateImageJaehne 72
- Setting Regions of Interest 74
- CreateROI 75
- DeleteROI 75
- SetBorderMode 77
- CreateTileInfo 79
- SetTileInfo 80
- DeleteTileInfo 80
- Memory Allocation Functions 81
- Set, SetFP 85
- Image Creation and Access 87
- Exchange 89
- Example 4-6 Converting Images 91
- PutPixel 92
- GetPixel 92
- NoiseImage 96
- NoiseUniformInit 97
- NoiseUniformInitFp 97
- NoiseGaussianInit 98
- NoiseGaussianInitFp 98
- TranslateDIB 101
- ConvertFromDIB 104
- ConvertFromDIBSep 107
- ConvertToDIB 108
- ConvertToDIBSep 109
- Discussion 110
- Image Arithmetic and Logical 111
- Operations 111
- AddS, AddSFP 113
- SubtractS, SubtractSFP 114
- MultiplyS, MultiplySFP 114
- MultiplySScale 115
- Dyadic Arithmetic Operations 117
- Subtract 118
- Multiply 118
- MultiplyScale 119
- Monadic Logical Operations 120
- Dyadic Logical Operations 124
- AlphaComposite 128
- AlphaCompositeC 128
- IPL_COMPOSITE_OVER 133
- PreMultiplyAlpha 134
- Image Filtering 135
- Linear Filters 136
- 2D Convolution 137
- CreateConvKernelFP 139
- GetConvKernelFP 140
- DeleteConvKernel 142
- DeleteConvKernelFP 142
- Convolve2D 142
- Convolve2DFP 142
- FixedFilter 146
- Return Value 148
- MedianFilter 149
- ColorMedianFilter 151
- MaxFilter 152
- MinFilter 153
- Linear Image Transforms 155
- RealFft2D 158
- CcsFft2D 161
- MpyRCPack2D 162
- Morphological Operations 167
- See Also 172
- Color Space Conversion 175
- ReduceBits 177
- Output image 180
- BitonalToGray 181
- ColorToGray 182
- GrayToColor 183
- Conversion of Color Models 184
- RGB2YCrCb 190
- YCrCb2RGB 190
- Using Color-Twist Matrices 192
- CreateColorTwist 193
- SetColorTwist 194
- ApplyColorTwist 195
- DeleteColorTwist 196
- ColorTwistFP 197
- Functions 199
- Threshold 200
- The IplLUT Structure 203
- ConstrastStretch 205
- (continued) 206
- ComputeHisto 207
- HistoEqualize 208
- Comparing Images 210
- EqualFPEps 214
- GreaterS 215
- GreaterSFP 216
- EqualSFP 220
- EqualSFPEps 221
- Geometric Transforms 223
- Changing the Image Size 225
- Decimate 227
- DecimateBlur 228
- GetRotateShift 233
- WarpAffine 239
- GetAffineBound 240
- GetAffineQuad 240
- GetAffineTransform 241
- WarpBilinear 242
- WarpBilinearQ 242
- GetBilinearBound 244
- GetBilinearQuad 244
- GetBilinearTransform 245
- WarpPerspectiveQ 246
- WarpPerspective 246
- GetPerspectiveBound 248
- GetPerspectiveQuad 248
- GetPerspectiveTransform 249
- Arbitrary Transforms 250
- Image Norms 254
- Image Moments 257
- GetSpatialMoment 258
- GetCentralMoment 259
- GetNormalizedSpatialMoment 259
- GetNormalizedCentralMoment 260
- SpatialMoment 261
- CentralMoment 261
- NormalizedSpatialMoment 262
- NormalizedCentralMoment 263
- Cross-Correlation 264
- NormCrossCorr 265
- MinMaxFP 266
- User Defined Functions 267
- UserFunc 268
- UserFuncFP 269
- UserFuncPixel 270
- UserProcess 271
- UserProcessFP 273
- UserProcessPixel 274
- LibraryVersion 277
- GetLibVersion 277
- ReturnValue 277
- Supported Image Attributes 279
- Input and output images 282
- Compare functions 284
- Processing 285
- = IPL_INTER_NN) 287
- = IPL_INTER_LINEAR) 287
- = IPL_INTER_CUBIC) 287
- = IPL_INTER_SUPER) 287
- Mathematical Notation 289
- Linear Interpolation 289
- IPL_INTER_LINEAR 290
- Cubic Interpolation 291
- Super-Sampling 292
- Bibliography 295
- Biblio-2 296
- Glossary 297
- Glossary-2 298
- Glossary-3 299
- ColorToGray in Chapter 9 299
- Glossary-4 300
- Glossary-5 301
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