Elsevier

Pattern Recognition Letters

Volume 28, Issue 6, 15 April 2007, Pages 728-739
Pattern Recognition Letters

Recovery of visual structure in illustrated Japanese gardens

https://doi.org/10.1016/j.patrec.2006.08.001Get rights and content

Abstract

The continued existence of superb Japanese gardens attests to their cultural significance during the last few centuries. Yet despite their special cultural status, factual ambiguities shroud the identity of garden creators, and historical records often omit details about alteration of original compositions. Fortunately some garden illustrations in old texts provide valuable information where original designs have been lost or altered.

This paper investigates the depiction of visual perspective in the work of the prolific garden illustrator, Akisato Ritoh, to propose a method for recovery of garden plans from his illustrations. The method capitalizes on the observation that Akisato’s work presents rectilinear structures in pseudo-parallel perspective while naturalistic objects are depicted in fronto-parallel views.

Visual structure of illustrated gardens is then computed via the medial axis transform, a method used in previous work to reveal global visual structure in the Ryoanji dry rock garden. Three examples show how the approach benefits pattern processing in cultural heritage. The first example provides the visual structure of an unrealized garden that was intended as exemplary of a specific style. The second suggests how fluctuations due to plant growth affect the structural balance of a garden composition. In the third case, plan recovery coupled with medial axis transformation hint at the cultural significance of an inaccessible and relatively unknown garden. Further analysis suggests that abstract visual structure of gardens may serve as a signature of their creators, analogous to the way in which shape of brush strokes may characterize the origins of a painting.

Introduction

Japanese gardens form an integral part of the cultural heritage of Japan. Left relatively unscathed by the destruction of the World War II, Kyoto is the nucleus of the Japanese garden heritage and home to no less than 16 temples designated as UNESCO world heritage sites. This is synonymous with assigning international cultural status to a number of Kyoto gardens, since most temples are best known for their court yard gardens. Even if Kyoto escaped the raids of the last war it has been ravaged during various upheavals in its long history. And with post-war development many Kyoto gardens, especially those belonging to minor temples or in private ownership have disappeared. Relatively few gardens remain in the old capital today.

Seeds of lost gardens can fortunately still be uncovered. Architectural drawings and photographs serve as the record of visual composition of gardens that have disappeared in the recent past. At least some significant, accurate details pertaining to these creations remain for future generations. Yet one especially feels the loss when finding the last remaining reference to a garden that does not exist anymore, be it a photograph or a hand drawn illustration.

In this paper I propose that invaluable ground plan details may be recovered from even one illustration of an original garden. The method is founded on a grasp of how Japanese artists depicted depth perspective in two dimensions. Four illustrations (Fig. 1) by Akisato Ritoh serve as inspiration for the ground plan recovery method. Few scholars have attempted garden plan reconstruction from illustrations, probably since the schematic appearance of hand drawings do not hint at an immediate link with veridical data of the garden composition.

Akisato Ritoh captured the scenery of famous Japanese gardens, depicting design styles and garden accessories in painstaking detail (Akisato, 1780, Akisato, 1799, Akisato, 1827, Akisato, 1828). An enthusiastic garden expert active in the latter half of the Edo period (1603–1867), he also created numerous gardens and published several authoritative works on the topic.

The following section gives an overview of the depiction of depth perspective in Japanese art and in particular the illustrations of Akisato. Comparing standard parallel, vertical and linear perspective systems I then show that vertical projective reconstruction yields acceptable maps for some of the illustrated gardens. Finally, the structural analysis in four of his illustrations serves as platform to demonstrate the utility of pattern processing in deepening our understanding of Japanese garden design.

Section snippets

The depiction of depth perspective in Japanese painting

Japanese painting uses a plethora of effects to convey a sense of perspective depth in painting. Adopted and adapted from Chinese landscape painting, the skillful choice of either a low, middle or high vantage point can assist in the rendering of pictorial vastness (Fig. 2A and B). Size scaling, vertical stacking, and combinations of vertical, horizontal and diagonal lines further enhance the impression of spatial depth. Atmospheric depth is conveyed by applying bluish, less saturated hues to

Three basic systems for depicting visual depth perspective

At this point it is constructive to consider three basic perspective systems (Fig. 3) most commonly found in pictorial art: parallel, linear and vertical perspective. The systems can be intuitively understood in terms of virtual perspective lines, which represent the deformation of equal units of space in the frontal viewing plane. For the sake of simplicity Fig. 3 illustrates only straight-line fronto-parallel perspective where one set of virtual perspective lines remains horizontal.

Recovery of garden plans from Akisato’s illustrations

Each perspective system causes a unique two dimensional transformation of the relative spatial positions among objects within a scene. A numerical comparison will therefore show which reconstructed ground plan best matches an actual map of an illustrated scene. The result would determine the choice of perspective system for more reliable reconstruction of gardens which now exist only in illustrated form.

Ground plan reconstruction in parallel, linear and vertical perspective demands that an

Computation of visual structure

Van Tonder et al. (2002) proposed medial axis transformation as method to reveal implicit global visual structure in empty spaces between rock clusters of Ryoanji. Medial axes around a rock in a garden delineate the region of points that are closer to that specific rock than to any other. For example, every location inside the shaded region of Fig. 5A is closer to the black dot marked with an ‘X’ than it is to any other. The borders separating these regions are the medial axes between the dots.

An unrealized garden

The approach developed previously can be applied to an unrealized garden by Akisato. Results with each perspective system are shown in Fig. 6. The superimposed medial axis transforms show that, as with Ryoanji, empty spaces in this garden form a converging branching structure.

Fluctuations in garden composition

Fig. 7A–F shows reconstructed ground plans and medial axis transforms of Nanzenji hojo. Vertical perspective (Fig. 7F) most closely matches a real map (Fig. 7G) of the actual Nanzenji hojo garden. Whereas the actual rock

Analysis of visual structure

Formal comparison of structural properties in the four gardens considered so far requires that medial axes are translated into the appropriate abstract format. The graphs in Fig. 9 provide exactly that, enabling one to compare visual structure of Ryoanji (RR), the vertical reconstruction of Ryoanji (VR) and Akisato’s unrealized garden (753). The broad curve in each graph depicts generic trends for comparable properties in biological tree structures. Fig. 9A shows logarithmic plots of average

Discussion

The results are relevant to a current debate where Akisato is claimed (Kuitert, 2002) to have altered, if not completely recreated the Ryoanji garden according to the prevalent style of the middle Edo period. Fig. 9 shows that visual structure of the actual Ryoanj garden (RR) and the illustration (VR) inherently differ from Akisato’s personal conceptualization of a garden (753). Visual structure in Ryoanji closely resembles natural branching networks found in geological features and biological

Conclusion

This work hints at the untapped wealth of structural information in real and illustrated gardens of Japan. Perspective reconstruction and medial axis transformation combined with appropriate pattern processing bring a new level of understanding to the otherwise implicit patterns locked up within these splendid gardens. Hopefully we will be wise enough not to forfeit our wisdom of gardens, whether in real or illustrated form.

Acknowledgements

The author wishes to thank Amy Ione, Günter Nitschke and Yoshio Ohtani for valuable commentary during manuscript preparation. This project was funded by the Japanese Society for the Promotion of Science (JSPS).

References (24)

  • Akisato, R. 1780. Miyako meishou zue....
  • Akisato, R. 1799. Miyako rinsen meishou zue. 6 volumes....
  • Akisato, R. 1827. Ishigumi sonou yaegaki den. 2 volumes....
  • Akisato, R. 1828. Tsukiyama teizouden gohen. 2 volumes....
  • R. Arnheim

    The Power of the Centre: A Study of Composition in the Visual Arts

    (1988)
  • D. Hockney et al.

    Optical insights into Renaissance art

    Optics Photon. News

    (2000)
  • M. Kemp

    The Science of Art

    (1990)
  • F. Kishi

    The perspective system of Early Uki-e: Okumura Masanobu’s series of O-uki-e

    J. Japan. Soc. Aesthetics

    (1994)
  • J.J. Koenderink et al.

    The internal representation of shape with respect to vision

    Biol. Cybernet.

    (1979)
  • W. Kuitert

    Themes in the History of Japanese Garden Art

    (2002)
  • M. Leyton

    Symmetry, Causality, Mind

    (1992)
  • Nakane, K. 1999. Kyoto Meien Hyakusen. Tankosha,...
  • Cited by (9)

    • Measuring complexity with multifractals in texts. Translation effects

      2012, Chaos, Solitons and Fractals
      Citation Excerpt :

      In relation to these remarks, work on fractal analysis of paintings should be mentioned [80], on handwriting [81] and on japanese garden patterns [82] to indicate directions for further research.

    • Cultural meaning of flowing water textures in Japanese gardens

      2013, Journal of Food, Agriculture and Environment
    View all citing articles on Scopus
    View full text