The invention relates to a method for producing a product, in which the following steps are performed for each working point (11, 30) for which it is to be determined whether the point is inside or outside an object typically corresponding to the product to be produced or to a part (layer, slice) of the product to be produced, namely: determining at least one line (12) from between a line passing through the working point (11; 30) with which is associated a counter dedicated solely to the working point and a line passing through an image (31) of the working point with which image is associated with a counter dedicated solely to this image of the working point; on each of the elementary surfaces, (i) searching for an intersection between the elementary surface (15) and one of the lines from the line (12) passing through the working point (11; 30) and the line passing through the image of the working point (31) and (ii) modifying the counter if the intersection exists, steps (i) and (ii) being performed in a repeated manner; and determining whether the working point is inside or outside the object as a function of the counter dedicated solely to the working point (11; 30). The invention is suitable for use in rapid prototyping and stereolithography. The present invention relates to a method for manufacturing a product comprising, for each working point (11, 30) for which one seeks to determine whether it is inside or outside a object typically corresponding to the product to be manufactured or a part (layer, slice) of the product to be manufactured; a determination of at least minus one line (12) among a line passing through this work point (11; 30) to which is associated a counter dedicated only to this working point, and a line passing through an image (31) of the work point with which a counter dedicated only to this image of the work point, and an iteration, on each of the elementary surfaces, the following operations: a search of an intersection between the elementary surface (15) and one of the lines among the line (12) passing through the working point (11; 30) and the line passing through the image of the working point (31); a modification of the counter if the intersection exists, and a determination of whether the work point is indoors or outdoors of the object according to the counter dedicated only to the working point (11; 30). Application to stereolithography and fast prototype.
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