Topic
Discrete sine transform
About: Discrete sine transform is a research topic. Over the lifetime, 3269 publications have been published within this topic receiving 73181 citations.
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Patent•
13 Apr 1995
TL;DR: In this article, a polygonal approximation of the contour image of an object is presented, where a sampling circuit is used to provide N sample points for each of the line segments, an error detector for calculating an error for each sample points on each line segment, and a discrete sine transform and quantization block for transforming each set of errors into a set of discrete Sine transform coefficients.
Abstract: A contour approximation apparatus for representing a contour image of an object comprises a polygonal approximation section for determining a number of vertices on the contour image and fitting the contour image with a plurality of line segments to provide a polygonal approximation of the contour image, a sampling circuit for providing N sample points for each of the line segments, an error detector for calculating an error for each of the N sample points on each of the line segments to produce a set of errors for each of the line segments, a discrete sine transform and quantization block for transforming each set of errors into a set of discrete sine transform coefficients, and for converting the set of discrete sine transform coefficients into a set of quantized transform coefficients.
17 citations
Patent•
28 Sep 1998TL;DR: In this article, the authors proposed a method of producing a transform decomposition of data having an odd length, comprising the steps of dividing the data into a portion having an even length of one element, performing a discrete wavelet transform on the even length data to produce low frequency subband data and adding the difference of the one element and an adjacent element to high frequency subbands data.
Abstract: A method of producing a transform decomposition of data having an odd length the method comprising the steps of dividing the data into a portion having an even length of one element; performing a discrete wavelet transform on the even length data to produce low frequency subband data and high frequency subband data; adding the difference of the one element and an adjacent element to high frequency subband data. Preferably the transform is a Discrete Wavelet Transform utilised in the compression of image data.
17 citations
01 Jan 2003
TL;DR: It is shown that the MDCT can also be used as an analysis tool, by extracting the frequency of a pure sine wave with some simple combinations of MDCT coefficients, and studying the performance of this estimation in ideal (noiseless) conditions.
Abstract: The Modified Discrete Cosine Transform (MDCT) is a broadlyused transform for audio coding, since it allows an orthogonal time-frequency transform without blocking effects. In this article, we show that the MDCT can also be used as an analysis tool. This is illustrated by extracting the frequency of a pure sine wave with some simple combinations of MDCT coefficients. We studied the performance of this estimation in ideal (noiseless) conditions, as well as the influence of additive noise (white noise / quantization noise). This forms the basis of a low-level feature extraction directly in the compressed domain.
17 citations
TL;DR: The concept of multidimensional mixed domain transform/spatiotemporal (MixeD) filtering is extended beyond the discrete Fourier transform (DFT) to include other types of discrete sinusoidal transforms, including the discrete Hartley transform (DHT) and the discrete cosinetransform (DCT).
Abstract: The concept of multidimensional mixed domain transform/spatiotemporal (MixeD) filtering is extended beyond the discrete Fourier transform (DFT) to include other types of discrete sinusoidal transforms, including the discrete Hartley transform (DHT) and the discrete cosine transform (DCT). Two MixeD filter examples are given, one using the two-dimensional (2-D) DHT and the other using the 2-D DCT, to selectively enhance a 3-D spatially planar (SP) pulse signal. The authors define the notation and provide a review of the MixeD filter method. MD and partial P-dimensional discrete transform operators are defined, and the design of MixeD filters is discussed. MixeD filters based on the 2-D DHT and the 2-D DCT are designed to selectively enhance a 3-D SP pulse. Experimental verification of these 3-D SP MixeD filters is described. >
17 citations
TL;DR: This letter derives novel tridiagonal commuting matrices for each discrete cosine transform (DCT) and discrete sine Transform (DST) matrices of the types I, IV, V, and VIII from the commuting matrix of the DFT and GDFT based on the relationships in matrix forms.
Abstract: In this letter, we first propose new nearly tridiagonal commuting matrices of discrete Fourier transform (DFT) matrix and generalized DFT (GDFT) matrix. Then, using the block diagonalizations technique of circular-centrosymmetric and centrosymmetric matrices, we derive novel tridiagonal commuting matrices for each discrete cosine transform (DCT) and discrete sine transform (DST) matrices of the types I, IV, V, and VIII from the commuting matrices of the DFT and GDFT based on the relationships in matrix forms among DFT, GDFT, and various types of DCT and DST. Moreover, the novel tridiagonal commuting matrices of various types of DCT and DST do not have multiple eigenvalues. Last, with these novel commuting matrices, we can easily determine an orthonormal set of Hermite-like eigenvectors for each of their corresponding DCT or DST matrix.
17 citations