From mboxrd@z Thu Jan 1 00:00:00 1970 Path: news.gmane.org!.POSTED.blaine.gmane.org!not-for-mail From: Eli Zaretskii Newsgroups: gmane.emacs.devel Subject: Re: Image transformations Date: Thu, 13 Jun 2019 22:29:27 +0300 Message-ID: <831rzxz3l4.fsf@gnu.org> References: <9A21DE14-BB5F-426E-BBB2-19C87930E733@gnu.org> <20190611200233.GA80199@breton.holly.idiocy.org> <83imta95z0.fsf@gnu.org> <20190612220746.GA89208@breton.holly.idiocy.org> <835zpa11qp.fsf@gnu.org> <83pnnhzlcp.fsf@gnu.org> <83imt9zcbr.fsf@gnu.org> Injection-Info: blaine.gmane.org; posting-host="blaine.gmane.org:195.159.176.226"; logging-data="247113"; mail-complaints-to="usenet@blaine.gmane.org" Cc: alptekin.aker@gmail.com, alan@idiocy.org, emacs-devel@gnu.org To: Richard Copley Original-X-From: emacs-devel-bounces+ged-emacs-devel=m.gmane.org@gnu.org Thu Jun 13 21:30:06 2019 Return-path: Envelope-to: ged-emacs-devel@m.gmane.org Original-Received: from lists.gnu.org ([209.51.188.17]) by blaine.gmane.org with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.89) (envelope-from ) id 1hbVQD-00122l-Iz for ged-emacs-devel@m.gmane.org; Thu, 13 Jun 2019 21:30:05 +0200 Original-Received: from localhost ([::1]:44870 helo=lists.gnu.org) by lists.gnu.org with esmtp (Exim 4.86_2) (envelope-from ) id 1hbVQB-0002fn-R5 for ged-emacs-devel@m.gmane.org; Thu, 13 Jun 2019 15:30:03 -0400 Original-Received: from eggs.gnu.org ([2001:470:142:3::10]:49401) by lists.gnu.org with esmtp (Exim 4.86_2) (envelope-from ) id 1hbVPo-0002dS-MJ for emacs-devel@gnu.org; Thu, 13 Jun 2019 15:29:42 -0400 Original-Received: from fencepost.gnu.org ([2001:470:142:3::e]:39066) by eggs.gnu.org with esmtp (Exim 4.71) (envelope-from ) id 1hbVPm-0007oT-H0; Thu, 13 Jun 2019 15:29:38 -0400 Original-Received: from [176.228.60.248] (port=3344 helo=home-c4e4a596f7) by fencepost.gnu.org with esmtpsa (TLS1.2:RSA_AES_256_CBC_SHA1:256) (Exim 4.82) (envelope-from ) id 1hbVPl-0000K8-8Z; Thu, 13 Jun 2019 15:29:38 -0400 In-reply-to: (message from Richard Copley on Thu, 13 Jun 2019 20:00:49 +0100) X-detected-operating-system: by eggs.gnu.org: GNU/Linux 2.2.x-3.x [generic] X-BeenThere: emacs-devel@gnu.org X-Mailman-Version: 2.1.23 Precedence: list List-Id: "Emacs development discussions." List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , Errors-To: emacs-devel-bounces+ged-emacs-devel=m.gmane.org@gnu.org Original-Sender: "Emacs-devel" Xref: news.gmane.org gmane.emacs.devel:237549 Archived-At: > From: Richard Copley > Date: Thu, 13 Jun 2019 20:00:49 +0100 > Cc: Alp Aker , alan@idiocy.org, > Emacs Development > > XRender uses homogeneous matrices. In this system a 3x3 projective matrix can > represent any affine transformation as one matrix. The matrix representing a > translation, then a rotation, then a translation, can then be calculated by > multiplying three matrices. (It is in fact again a rotation followed by a single > translation.) Thanks for a useful and detailed description.