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Volume 33 (1999)
- Issue 4 Pages 3-
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Volume 33, Issue 1
Displaying 1-10 of 10 articles from this issue
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Hisashi SATO1999 Volume 33 Issue 1 Pages 3-4
Published: 1999
Released on J-STAGE: August 25, 2010
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Shigeru IITAKA1999 Volume 33 Issue 1 Pages 5-10
Published: 1999
Released on J-STAGE: August 25, 2010
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Kokichi SUGIHARA1999 Volume 33 Issue 1 Pages 11-16
Published: 1999
Released on J-STAGE: August 25, 2010
JOURNAL FREE ACCESSThis paper studies mathematical structures of pictures of polyhedra, and classifies anomalous pictures from a mathe-matical point of view. First, we briefly review a necessary and sufficient condition for a picture to represent a polyhedron correctly, and next classifies the pictures accordingly. Special attention is paid to those pictures that seem impossible but actually represent polyhedra and those pictures that seem possible but actually do not represent any polyhedron.View full abstractDownload PDF (2824K) -
Hiromasa SUZUKI1999 Volume 33 Issue 1 Pages 17-23
Published: 1999
Released on J-STAGE: August 25, 2010
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Koji MIYAZAKI1999 Volume 33 Issue 1 Pages 25-31
Published: 1999
Released on J-STAGE: August 25, 2010
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Ichiro TAKADA1999 Volume 33 Issue 1 Pages 33-43
Published: 1999
Released on J-STAGE: August 25, 2010
JOURNAL FREE ACCESSOne of our purpose is to arrange and to analyze a method of visual perception of an object in n-dimensional Euclidean space Rn systematically and practically.
When we study the process of visual perception of an object in Rn, we have to extend the process in 3-dimensional case to the general cases. If we try to perceive the unidentified object, usually we move (rotate) the object or we change the position (turn) around it, and we look it or press the shutter. In this paper, we will generalise these “moving” (rotation) and “looking” (projection) to n-dimensional cases, and we will give them, especially for the former, a practical expression.
It is well known the theoretical expression of rotation in Rn, that is to decompose it to a product of at most n/2 2-dimensional rotations, so called the canonical form of the orthogonal transformation. This expression is useful and economical in mathematical sense, but it lacks practical use especially in high dimensional cases, since the axis of the 2 -dimensional rotation in each component is change depending on the given rotation. Then this expression is not satisfied our purpose.
On the other hand, from our viewpoint to treat rotation and projection together, we obtain the following expression : any rotation in Rn which fixes the origin is decomposed to a product of at most n-1 2-dimensional rotations with the fixed axis and a rotation in the projection hyperplane ( ≅ Rn-1) . Of course our expression has practical value in exchange for a little waste.View full abstractDownload PDF (1511K) -
part 2 : Developing Two-Dimension into Three-DimensionMichikazu OHNISHI1999 Volume 33 Issue 1 Pages 45-50
Published: 1999
Released on J-STAGE: August 25, 2010
JOURNAL FREE ACCESSIn the previous paper, the author presented a method of making a plan of a two-dimensional object with a high accuracy level from its bird's-eye photograph. In this paper, the author presents the development of a method for easily obtaining the coordinate values of a three-dimensional object by using its two photographs. This method involves the following procedure : (1) arranging four marks into a square on a plane with a three-dimensional object, (2) taking two pictures of these marks from different positions, (3) converting two bird's-eye photographs into two plans of the object, and ( 4 ) calculating the coordinates of a threedimensional object using geometrical relationships between the two plans. As a result, a three-dimensional object can be established. The measuring error of this method was investigated for model blocks. The relative error in length was very small, less than 0.3%. Moreover, this method was applied to three-dimensional measurement of the positions of old coins in an excavation site of ruins, which showed the utility of this method to a wide range of applications.View full abstractDownload PDF (4097K) -
Kiyoo KOYAMA1999 Volume 33 Issue 1 Pages 51-54
Published: 1999
Released on J-STAGE: August 25, 2010
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Studies on the Drawing Processes in Spatial Design ActivitiesYurika YOKOYAMA1999 Volume 33 Issue 1 Pages 55-61
Published: 1999
Released on J-STAGE: September 07, 2010
JOURNAL FREE ACCESSAs designing is a problem-solving for which drawing activity is indispensable, it is natural to expect that the underlying strategy of making a series of drawings for a design solution would reflect the nature of design problem-solving behaviour. This paper aims at finding out the architects' strategies underlying their fluent production of drawings, from their concurrent verbalization during experimental design session. The verbal data of the 3 practicing architects are encoded for each drawing phase, according to the improved version of Eckersley's4) coded verbalization types for protocol analysis, before factor analysis is applied. 2 factors are pointed out and defined as inference factor and substantial thinking factor. It is suggested that, throughout the seriese of drawing phases, each architect searches the solution along the 2 axis of inference and substantial thinking, and 2 cyclic search strategies are identified as a result.View full abstractDownload PDF (1462K) -
(Rectification of Circumference)Hozumi KAGAWA, Hiroshi MAKI1999 Volume 33 Issue 1 Pages 63-68
Published: 1999
Released on J-STAGE: August 25, 2010
JOURNAL FREE ACCESSThe objective of this study is the development of a method, which draw high quality pictures of approximate circumference or semicircular arc, more accurately. The hardware components consist of a personal computer (CPU=200 MHz) and a laser printer (600 dpi) . We use OS (MSDOS) as operation system and a general purpose CAD software. In this paper, first, we show statistical trend of students for segmentation of a line. The next, it presents (1) a theoretical basis of circumference drawing, in which inaccuracy is 2×10-5%, (2) a new method of line / circle drawing for highly magnified figure on CRT display by mouse / keyboard combined operating, (3) examples of approximately circumference as low inaccuracy drawing under existing method. It is basically important that the representation method makes it easy to understand of twodimensional geometric CAD operation.View full abstractDownload PDF (791K)
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