Marcin Jonak

In this paper, the author presents a practical method for the construction of anamorphic images based on their analytical properties that are characteristic of reflective conical anamorphic images. This study is a continuation of the earlier work in which the geometrical principles from a real-life image were described. In this paper, the author presents a set of analytical formulas that are used to describe the transformation together with their digital notation in the MS Excel software. The originally developed analytical model of transformation lets the author generate anamorphic images of any designed objects on the condition that they are represented by the parametric equations. These parametric formulas make the essential condition for enhancing the creation of the final form of an anamorphic image. Some exemplary anamorphic images have been presented here together with their visualisation that has been created with the aid of a prototype, conicalshaped mirror. The solutions presented in this work provide a tool for the precise design and development of anamorphic images within the urban space of a town and in the interiors of a public use.

Art based on optical illusions has accompanied the everyday life of a human being since ancient times, until today. Primarily, it played a specific role as an artistic game and manifested the artists’ own mastery, while often playing the serviceable role of an artistic advertisement. This study presents a detailed definition of anamorphic images together with their precise classification, and provides a description of the methods used for their construction. The problems discussed here have been presented on a historical background. The examples of particularly chosen anamorphic images have been presented together with their visualised images. The theoretical background, how one can create such anamorphic images, provides the basis for further design and development of anamorphic images to be created both in an urban space of a town, and in the interiors of public use.

The aim of this paper is to present a practical construction for some cylindrical anamorphic images. The method is based on the analytic properties of reflective anamorphic image construction – topics which have been discussed in previous papers. This time, the authors deal with the analytical analysis of a transformation that is applied in order to obtain an anamorphic image, and provide an innovative digital notation of the reflective transformation discussed. The analytical model described here allows us to generate a cylindrical anamorphic image of any object that is represented in the form of a set of parametric equations. Some example anamorphic images together with their counter-images reflected in the surface of a cylindrical mirror will be presented here. The method of construction described enables the development of any design project of an anamorphic image in the urban planning environment and within the interiors of public spaces.