Chandan Singh

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Muqtedar Khan

University of Delaware

Oriol Iglesias

ESADE

Jay Cullen

Edge Hill University

Remo Caponi

University of Cologne

Nor Razinah Mohd. Zain

International Islamic University Malaysia

Robert Kozinets

University of Southern California

Muhammad Hasbi Zaenal

UIN Syarif Hidayatullah Jakarta

Delphine Dion

ESSEC Business School

Diego Rinallo

EMLyon Business School

Benedikt Lehmann

York St John University

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Papers by Chandan Singh

Fast Hybrid Shading: An Application of Finite Element Methods in 3D Rendering

International Journal of Image and Graphics, 2005

This paper is an attempt to improve the quality of Gouraud shading with minimum increase in the c... more This paper is an attempt to improve the quality of Gouraud shading with minimum increase in the computation requirements. It presents algorithms for intermediate quality shading i.e. the quality of shading is better than Gouraud shading and nearly comparable to the quality of bi-quadratic Phong shading, at the same time, algorithms are very fast as compared to bi-quadratic Phong shading. Three algorithms are discussed. The first algorithm uses hybrid shading in which bi-quadratic interpolation of intensity is performed on the edges of a triangle and linear interpolation of intensity is performed on the scan line. Hybrid shading, in which bi-quadratic interpolation of normals is performed on the edges and linear interpolation of intensity is performed on the scan line, has been proposed in the second algorithm. In the third algorithm, bi-cubic interpolation of intensity is performed on the edges and linear interpolation of intensity is performed on the scan line. The paper also prese...

Algorithms for fast computation of Zernike moments and their numerical stability

Image and Vision Computing, 2011

Accuracy, speed and numerical stability are among the major factors restricting the use of Zernik... more Accuracy, speed and numerical stability are among the major factors restricting the use of Zernike moments (ZMs) in numerous commercial applications where they are a tool of significant utility. Often these factors are conflicting in nature. The direct formulation of ZMs is prone to numerical integration error while in the recent past many fast algorithms are developed for its computation. On the other hand, the relationship between geometric moments (GMs) and ZMs reduces numerical integration error but it is observed to be computation intensive. We propose fast algorithms for both the formulations. In the proposed method, the order of time complexity for GMs-to-ZMs formulation is reduced and further enhancement in speed is achieved by using quasi-symmetry property of GMs. The existing q-recursive method for direct formulation is further modified by incorporating the recursive steps for the computation of trigonometric functions. We also observe that q-recursive method provides numerical stability caused by finite precision arithmetic at high orders of moment which is hitherto not reported in the literature. Experimental results on images of different sizes support our claim.

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Higher isoprenoids—VII

Tetrahedron, 1977

An efficient new procedure for the degradation of cyclolaudenyl acetate to 3β-acetoxy-4, 4, 14α-t... more