标题: 分享S变换函数 [打印本页] 作者: dsahdajs 时间: 2020-2-27 17:57 标题: 分享S变换函数 Abstract1 }/ V1 [# d- }, m2 M/ b3 G
The generalized S transform (GST), a family of reversible integer-to-integer transforms inspired by the S transform, is& Z" }) C; L- \; a! P) w! Q
proposed. This family of transforms is then studied in detail, by considering topics such as GST parameter calculation, the; }6 l3 p/ x2 i4 c
effects of using different rounding operators in the GST, and the relationship between the GST and the lifting scheme. Some3 F' h6 W- e3 V( F2 @1 C
examples of specific transforms in the GST family are also given. In particular, a new transform in this family is introduced, % V, U8 `, S$ h/ J( Sand its practical utility demonstrated. ( C! z4 {% \2 ]6 }+ x% d0 _I. I NTRODUCTION0 T7 f# L2 \3 k) }4 C
Reversible integer-to-integer transforms have become a popular tool for use in signal coding applications requir-- T+ o" T4 [/ c3 c& z
ing lossless signal reproduction [1–5]. One of the best known transforms of this type is the S transform [3,4,6]. In . f* }& V" m0 h3 W# N8 w1 rthis manuscript, we propose the generalized S transform (GST), a family of reversible integer-to-integer transforms" B5 `+ n" P p! s$ h2 m6 C% R
based on the key ideas behind the S transform. We then study the GST in some detail. This leads to a number of . i* |7 t* y3 G. o: ?interesting insights about transforms belonging to the GST family (including the S transform amongst others) and' z' ^ E) d1 u$ }2 d4 ~- h
reversible integer-to-integer transforms in general. 2 Q( H3 l: Q5 M; {/ xThe remainder of this manuscript is structured as follows. We begin, in Section II, with a brief discussion of " T8 V4 F# r" Z% f' @the notation and terminology used herein. The S transform is then introduced in Section III, and the GST family1 i( A: X: S& R+ u8 E
of transforms is defi ned in Section IV. Sections V and VI proceed to examine GST parameter calculation and 5 C d {& M0 [, b8 o6 w9 \% H) c* Ithe effects of using different rounding operators in the GST. Some examples of well known transforms belonging" z& U1 r1 e0 M
to the GST family are given in Section VII, and in Section VIII, we present a new GST-based transform, and 4 n0 M/ I5 s6 n2 @# Cdemonstrate its utility for image coding applications. Finally, we conclude in Section IX with a summary of our# S0 O& D: T' ^# L3 L
results and some closing remarks.: g0 ~, \3 H& Y/ Z- Q3 {
II. N OTATION AND T ERMINOLOGY; \, F& ]% t9 _
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0 V2 O/ k8 j: z! S \6 |1 r# Y 作者: 多言数穷 时间: 2020-2-27 18:18
S变换函数