By Theoharis Theoharis
This e-book is the results of the examine within the implementation of polygon-based pix operations on sure basic objective parallel processors; the purpose is to supply a speed-up over sequential implementations of the pictures operations involved, and the ensuing software program should be seen as a subset of the applying suites of the proper parallel machines. A literature evaluate and a quick description of the architectures thought of provide an creation into the sector. so much algorithms are regularly provided in an informally outlined extension of the Occam language inclusive of unmarried guideline a number of facts circulation (SIMD) facts forms and operations on them. unique equipment for polygon rendering - together with the operations of filling, hidden floor removal and delicate shading - are offered for SIMD architectures just like the DAP and for a dual-paradigm (SIMD-MIMD) computing device developed out of a DAP-like processor array and a transputer community. Polygon clipping algorithms for either transputer and the DAP are defined and contrasted. except the data offered within the booklet and the worthwhile literature survey, the reader may also anticipate to realize an perception into the programming of the suitable parallel machines.
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Extra resources for Algorithms for Parallel Polygon Rendering
Thus coherence is exploited in order to improve the performance of rendering operations. In the past, the evaluation of the linear function has been used for the implementation of polygon rendering operations by Cohen [CoheSl] and Fuchs [Fuch85]. They have both evaluation of the linear function. architecture. It also higher-order functions. has the Such proposed special purpose parallel architectures for the In contrast our approach uses a general purpose parallel advantage functions are of being useful generalisable for the in rendering as we evaluation shall see of in due course, Our method is based on the following observation: Given an N x N matrix ROLD that contains the values of a bivariate polynomial function F(z,y) at an N × N grid of equally spaced points (window), we can use an N x N processor array to compute a matrix RNEW representing the values of F at a (horizontally or vertically) adjacent N × N grid of points by only performing d planar additions; where d is the degree of F in the relevant variable (z if the two grids are horizontal neighbours, y if they are vertical neighbours).
We shall been precomputed. MASK]) All] := A[i] << 1 B[i] := B[i] << l := R [ i ] + B[i] If we ignore the cost of the evaluation performed in the controller (which can be done in a co-processor), the cost of evaluating the function over the initial window is 2logan (aiX~xw + bi~yw + ci) values). The is included in the cost of the operation on the rhs. The planar additions plus 3 broadcasts cost of the planar assignments (of the ai, bi and planar bit shifts can be done for free on a bit-serial processor array and very cheaply on a bit -parallel processor array, so we shall ignore their cost.
Amount of If we ignore the cost of the broadcasts involved in t E v ~ , then the computation required for the initial evaluation of N × N grid is 21og2N planar additions or N221og2N additions. e. 5). Therefore the smaller the area of the grid, the more efficient the initial evaluation of the linear function will be. processor array It is thus advantageous to use the available silicon in giving the greater depth (bit-parallelism) rather than greater area (word-parallelism) as far as the evaluation of the linear function is concerned.
Algorithms for Parallel Polygon Rendering by Theoharis Theoharis