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Top Forums Shell Programming and Scripting Script to solve second order (polynomial) interpolation Post 302759197 by Tzeronone on Monday 21st of January 2013 08:59:06 PM
Old 01-21-2013
Quote:
Originally Posted by Corona688
What do you mean by polynomial interpolation?

Polynomial interpolation is an interpolation that based on three value points (two previous points and next point). So, if we see the data, there are an ID 1, 4, and 8. So, we need to find out the value of 2, 3, 5, 6, and 7 based on value 1, 4, and 8. The formula is that
(((x-x2) * (x-x3)) / ((x1-x2) * (x1-x3))) * y1 + (((x-x1) * (x-x3)) / ((x2-x1) * (x2-x3))) * y2 + (((x-x1) * (x-x2)) / ((x3-x1) * (x3-x1))) * y3
x = current ID;
x1 = the first known ID (second previous known ID); ---> 1
x2 = the second known ID (first previous known ID); ---> 4
x3 = the third known ID (next known ID); ---> 8
y1 = the first known value (the value of ID x1)
y2 = the second known value (the value of ID x2)
y3 = the third known value (the value of ID x3)
 

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mlib_ImageInterpTableCreate(3MLIB)			    mediaLib Library Functions				mlib_ImageInterpTableCreate(3MLIB)

NAME
mlib_ImageInterpTableCreate - creates an interpolation table SYNOPSIS
cc [ flag... ] file... -lmlib [ library... ] #include <mlib.h> void *mlib_ImageInterpTableCreate(mlib_type type, mlib_s32 width, mlib_s32 height, mlib_s32 leftPadding, mlib_s32 topPadding, mlib_s32 sub- sampleBitsH, mlib_s32 subsampleBitsV, mlib_s32 precisionBits, const void *dataH, const void *dataV); DESCRIPTION
The mlib_ImageInterpTableCreate() function creates an interpolation table based on prameters spedified. This function creates an internal data structure, an interpolation table, which can be used by some image geometric functions for imple- menting a table-driven interpolation algorithm. The parameter type defines the type of dataH/dataV input arrays and can be MLIB_BYTE, MLIB_SHORT, MLIB_USHORT, MLIB_INT, MLIB_FLOAT, or MLIB_DOUBLE. The dataH array should have at least width*2**subsampleBitsH entries. dataH[i*2**subsampleBitsH] holds the coefficient for the leftmost neighboring pixel, dataH[i*2**subsampleBitsH + 1] holds the coefficient for the second neighboring pixel from left, ..., and dataH[i*2**subsampleBitsH + width - 1] holds the coefficient for the rightmost neighboring pixel, where i = 0, 1, 2, ..., 2**subsampleBitsH - 1. The dataV array should have at least height*2**subsampleBitsV entries or should be NULL. If dataV is NULL, then dataH is used in its place, and in this case the parameters topPadding, height, and subsampleBitsV are ignored. PARAMETERS
The function takes the following arguments: type Data type of the coefficients. width Width of the interpolation kernel in pixels. height Height of the interpolation kernel in pixels. leftPadding Number of pixels lying to the left of the interpolation kernel key position. topPadding Number of pixels lying above the interpolation kernel key position. subsampleBitsH Numbers of bits used for the horizontal subsample position. subsampleBitsV Numbers of bits used for the vertical subsample position. precisionBits Number of fractional bits used to describe the coefficients. dataH Pointer to horizontal coefficient data. dataV Pointer to vertical coefficient data. RETURN VALUES
The function returns a pointer to an interpolation table. ATTRIBUTES
See attributes(5) for descriptions of the following attributes: +-----------------------------+-----------------------------+ | ATTRIBUTE TYPE | ATTRIBUTE VALUE | +-----------------------------+-----------------------------+ |Interface Stability |Evolving | +-----------------------------+-----------------------------+ |MT-Level |MT-Safe | +-----------------------------+-----------------------------+ SEE ALSO
mlib_ImageInterpTableDelete(3MLIB), mlib_ImageAffineTable(3MLIB), mlib_ImageZoomTranslateTable(3MLIB), mlib_ImageGridWarpTable(3MLIB), mlib_ImagePolynomialWarpTable(3MLIB), attributes(5) SunOS 5.10 9 Nov 2004 mlib_ImageInterpTableCreate(3MLIB)
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