By Theoharis Theoharis
This e-book is the results of the study within the implementation of polygon-based pictures operations on definite common goal parallel processors; the purpose is to supply a speed-up over sequential implementations of the pictures operations involved, and the ensuing software program could be considered as a subset of the appliance suites of the correct parallel machines. A literature overview and a short description of the architectures thought of supply an creation into the sphere. so much algorithms are continuously provided in an informally outlined extension of the Occam language which include unmarried guide a number of facts circulate (SIMD) facts varieties and operations on them. unique tools for polygon rendering - together with the operations of filling, hidden floor removing and tender shading - are awarded for SIMD architectures just like the DAP and for a dual-paradigm (SIMD-MIMD) desktop built 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 e-book and the beneficial literature survey, the reader may also anticipate to realize an perception into the programming of the appropriate parallel machines.
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Additional info for Algorithms for Parallel Polygon Rendering
Having implemented the optimisation required to avoid visiting non-intersecting windows, the performance of our filling algorithm will depend on the number of relevant windows, to, the number of edges in the polygon, n, the depth of the planar arithmetic representation, pd, the depth of the frame buffer, fd, and the word and bit parallelism of the processor array, (N,M). e. 1). 44 tADD to be the time required to perform an N×N×(pd) planar addition, with the result planar integer being one of the operands, using an NxN×M processor array.
Incremental window calculations for N=2 36 For an n-sided polygon we need n planar integers Ri, n horizontal increments H i and n vertical increments Vi. MASK for the window. planes of the planar integers R4 to derive the If the height of the average polygon of the application spans several windows, performance can be enhanced by the use of an Active Edge Table as in sequential polygon filling. 1) within the first using planar arithmetic. Take the (precomputed) planar integers X and Y defined as" X(i,j) Create constant = i Y(i,j) = j .
Log2 (21og2N + w - i) J +l. r+tlog2(21og2N+w-1)J+l Thus the bits deep. 4). Therefore the evaluation accurate arithmetic example, then the number (w may be the number of representation if I--512, N = 3 2 bit representation is required. 4. 1. 6. e. The method is applicable to convex polygons that occupy an a region in which any pixel can be reached from any other by a sequence of any of the eight one-pixel vertical, horizontal or diagonal moves. Given the U O V E t L M A S K for a particular RW, it is usually possible to decide whether its neighbouring windows are RW's by inspecting the appropriate boundary of the C O V E R .