By Theoharis Theoharis
This booklet is the results of the learn within the implementation of polygon-based photos operations on yes common goal parallel processors; the purpose is to supply a speed-up over sequential implementations of the images operations involved, and the ensuing software program may be considered as a subset of the appliance suites of the proper parallel machines. A literature evaluation and a short description of the architectures thought of supply an advent into the sector. such a lot algorithms are always provided in an informally outlined extension of the Occam language inclusive of unmarried guide a number of facts circulate (SIMD) info varieties and operations on them. unique equipment for polygon rendering - together with the operations of filling, hidden floor removing and delicate shading - are awarded for SIMD architectures just like the DAP and for a dual-paradigm (SIMD-MIMD) laptop 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 knowledge provided within the publication and the precious 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
Sample text
Adding X o f f (Yoff) to X (Y) gives the planar integers that contain the z (y) coordinates of all pixels in the first window. 1) in every component. The initial planar integer Rl c a n be computed as: Ri = Ai*(X + X o f f ) + Bi*(Y÷ Y o f f ) + Ci. The above broadcasts. this computation requires 2 planar multiplications, 4 planar additions and 5 The two multiplications involved in the calculation of the initial Ri mean that calculation windows and will dominate the cost of rendering polygons that only span a few we shall next describe a method of evaluating the initial planar integer Ri that does not involve planar multiplications.
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).
ElASK are updated). MASK at each pixel within the window. 5~[fd/M] array cycles. 5*n~(w-1)Fpd/M] +2 . 5 , w x~rfd/M] array cycles. e. the time to compute the first planar integers Ri and the increments for polygon. the linear function of each of the n edges of the (w-l)nt~NC is the time taken to incrementally compute the rest of the planar integers Ri (we compute n planar inegers Ri for each relevant window). UPDATE is the cost of updating the part of the frame buffer that corresponds to each of the w relevant windows with the polygon's colour.