词条 | Grassmann's laws (color science) | ||||||||
释义 |
Modern interpretationThe four laws are described in modern texts[5] with varying degrees of algebraic notation and are summarized as follows (the precise numbering and corollary definitions can vary across sources[6]):
These laws entail an algebraic representation of colored light.[7] Assuming beam 1 and 2 each have a color, and the observer chooses as the strengths of the primaries that match beam 1 and as the strengths of the primaries that match beam 2, then if the two beams were combined, the matching values will be the sums of the components. Precisely, they will be , where: Grassmann's laws can be expressed in general form by stating that for a given color with a spectral power distribution the RGB coordinates are given by: Observe that these are linear in ; the functions are the color matching functions with respect to the chosen primaries. See also
References1. ^{{cite journal|last1=Grassmann|first1=H.|title=Zur Theorie der Farbenmischung|journal=Annalen der Physik und Chemie|date=1853|volume=165|issue=5|pages=69–84|doi=10.1002/andp.18531650505}} 2. ^{{cite journal|last1=Pokorny|first1=Joel|last2=Smith|first2=Vivianne C.|last3=Xu|first3=Jun|title=Quantal and non-quantal color matches: failure of Grassmann's laws at short wavelengths|journal=Journal of the Optical Society of America A|date=1 February 2012|volume=29|issue=2|pages=A324|doi=10.1364/JOSAA.29.00A324|pmid=22330396}} 3. ^{{cite book|last1=Brill|first1=Michael H.|last2=Robertson|first2=Alan R.|title=Open Problems on the Validity of Grassmann's Laws|journal=Colorimetry|date=2007|pages=245–259|doi=10.1002/9780470175637.ch10|publisher=John Wiley & Sons, Inc.|language=en|isbn=9780470175637}} 4. ^{{cite book | title = Hermann Günther Grassmann (1809-1877): visionary mathematician, scientist and neohumanist scholar : papers from a sesquicentennial conference | authors = Hermann Grassmann, Gert Schubring | publisher = Springer | year = 1996 | isbn = 978-0-7923-4261-8 | page = 78 | url = https://books.google.com/?id=PUifpzKWhLkC&printsec=frontcover&dq=grassman%27s+second+law+color+linear }} 5. ^{{cite web|last1=Stevenson|first1=Scott|title=University of Houston Vision OPTO 5320 Vision Science 1 Lecture Notes|url=https://www.opt.uh.edu/onlinecoursematerials/stevenson-5320/vis_sci_02.pdf|website=University of Houston Vision OPTO 5320 Vision Science 1 Course Materials|accessdate=4 January 2018}} 6. ^{{cite book|last1=Judd|first1=Deane Brewster|last2=Technology|first2=Center for Building|title=Contributions to Color Science|date=1979|publisher=NBS|page=457|url=https://books.google.com/?id=jgz_iI8NAzYC&pg=PA457&dq=%22Grassmann%27s+laws%22#v=onepage&q=%22Grassmann's%20laws%22&f=false|accessdate=6 January 2018|language=en}} 7. ^{{cite book|last1=Reinhard|first1=Erik|last2=Khan|first2=Erum Arif|last3=Akyuz|first3=Ahmet Oguz|last4=Johnson|first4=Garrett|title=Color Imaging: Fundamentals and Applications|date=2008|publisher=CRC Press|isbn=9781439865200|page=364|url=https://books.google.com/?id=suLqBgAAQBAJ&pg=PA364&dq=grassman%27s+laws+additive#v=onepage&q=grassman's%20laws%20additive&f=false|language=en}} 2 : Color|Visual system |
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